Search a number
-
+
21840788352 = 273173345709
BaseRepresentation
bin10100010101110011…
…111111101110000000
32002101010022000011010
4110111303333232000
5324212220211402
614011123520520
71402143431535
oct242563775600
962333260133
1021840788352
119298612609
124296529140
1320a0b79306
1410b2978d8c
1587c67ea6c
hex515cffb80

21840788352 has 64 divisors (see below), whose sum is σ = 61427235600. Its totient is φ = 6852009984.

The previous prime is 21840788351. The next prime is 21840788353. The reversal of 21840788352 is 25388704812.

It is an interprime number because it is at equal distance from previous prime (21840788351) and next prime (21840788353).

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21840788351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1666327 + ... + 1679382.

Almost surely, 221840788352 is an apocalyptic number.

It is an amenable number.

21840788352 is an abundant number, since it is smaller than the sum of its proper divisors (39586447248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21840788352 is a wasteful number, since it uses less digits than its factorization.

21840788352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3345743 (or 3345731 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 48.

The spelling of 21840788352 in words is "twenty-one billion, eight hundred forty million, seven hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 272 384 408 544 816 1088 1632 2176 3264 6528 3345709 6691418 10037127 13382836 20074254 26765672 40148508 53531344 56877053 80297016 107062688 113754106 160594032 170631159 214125376 227508212 321188064 341262318 428250752 455016424 642376128 682524636 910032848 1284752256 1365049272 1820065696 2730098544 3640131392 5460197088 7280262784 10920394176 21840788352